Q1. The value of 101 x 99 is
9999
8998
9889
1111
Q2. Evaluate (11)3
1331
3113
1313
3131
Q3. Factorise: x2- 81
(x-9)(x-9)
(x-9)(x+9)
(x-81)(x+1)
(x+9)(x+9)
Q4. Find the remainder when p(x) = 2x3 -
13x2 + 17x + 12 is divided by (x - 2).
10
5
15
-10
Q5. The missing figure in the expression
(5p +...)2 = ....+ 40pq + 16q2 are
16p and 5p2
4q and 25p2
4q and 5p2
4q and 25p
Q6. (101)2 is equal to
10201
10211
10001
10011
Q7. If x+y+z = 0, Then x3 +y3 +z3
3xyz
3x(y+z)
2xyz
3(xy+yz+zx)
Q8. Factorise:(3x- 5y)3+ (5y - 2z)3 +
(2z - 3x)3
3(3x-5y)(5y-2z)(2z-3x)
2(3x -
5y) (5y - 2z) (2z - 3x)
3(3x +
5y) (5y + 2z) (2z + 3x)
2(3x +
5y)(5y + 2z) (2z + 3x)
Q9. Zero of a zero polynomial is:
0
All integers
All real numbers
All natural numbers
Q10. If p(x) = 7 - 3x + 2x2 then
value of p(-2) is:
12
31
21
22
Q11. What is the remainder when 5x3 -
x2 + 6 is divided by x − 4?
562
310
378
236
Q12. (99)2 is equivalent to
9881
9801
8801
9001
Q13. If a + b = 12 and a2 +
b2 = 60, the value of a3 + b3 is:
200
216
150
310
Q14. Find the remainder when p(x)
= x2 - 2x is divided by x - 2.
1
0
- 1
2
Q15. For a polynomial p(x) when divided by x
+ 3 leaves a remainder of 2. So, which of the following is true?
p(-3) = 2
p(2) = -3
p(3) = 2
p(-2) = 3
Q16. If a polynomial f(x) is divided by x - a
then remainder is
f (0)
f (a)
f (-a)
f(a)-f(0)
Q17. The degree of the polynomial x4 -
3x3 + 2x2 - 5x + 3 is:
4
2
3
1
Q18. If p(x) = 2x2 - 3x +
1 does not have x - a as a factor, then p(a)
is equal to zero
is a non zero number
is 4a - 1
is 4a + 1
Q19. A cubic polynomial is a polynomial of degree
………….
1
2
0
3
Q20. Evaluate: 303 + 203 –
503.
90000
15000
-90000
36000
Q21. Find the value of ( 9 a + 10 b ) 2
9 a 2 +
180 a b + 10 b 2
81 a 2 +
180 a b + 100 b 2
81 a + 180 a
b + 100 b
81 a 2 +
90 a b + 100 b 2
Q22. The coefficient of x2 in (7x
- 5)(5x2 - 3x + 1) is .
-46
46
16
-16
Q23. If x51 + 51 is divided by (x
+ 1) the remainder is:
0
1
49
50
Q24. What is the remainder when q(x) = 2x3 -
x2 + x - 1 is divided by x + 2?
20
- 23
35
- 32
Q25. Using Remainder Theorem find the
remainder when x3 - x2 + x + 1 is divided
by x - 1.
- 2
1
- 1
2
Q26. A linear polynomial is a polynomial of
degree ……….
1
2
0
3
Q27. Degree of the polynomial p(x) = 4x4 +
2x3 + x5 + 2x + 7 is:
7
4
5
3
Q28. If x + 1 is a factor of x3 +
3x2 + 3x + a, then a = ?
3
1
-1
-3
Q29. The polynomials p(x) = x3 +
2x2 – 5x - 7 and q(x) = x3 + x2 -
12x + 6, when divided by (x + 1) and (x - 2) respectively
give the remainders R1 and R2. Find 2R1 +
R2 .
4
8
- 8
2
Q30. Evaluate: 97 x 103
9995
9998
9991
9898
Q31. Factorise : 8a3 + b3 +
12a2 b+ 6a b2
(2a -
b) (2a - b) (2a + b)
(-2a +
b) (-2a + b) (2a + b)
(2a +
b) (2a + b) (2a + b)
(2a-b)(2a-b)(2a-b)
Q32. Polynomials having only three terms are
called ________
trinomials
binomial
monomial
multinomial
Q33. Find the coefficients of x2 in x2 -
2x + 4
- 2
2
1
-1
Q34. Using Remainder theorem, find the
remainder when 3x4 - 4x3 - 3x - 1 by x - 1.
- 5
5
1
0
Q35. Factorise the polynomial x2n+
5xn + 6
(xn- 3) (xn-
2)
(xn+ 3) (xn-
2)
(xn- 3)xn+
2)
(xn+ 3)(xn+
2)
Q36. The polynomial p(x) and q(x) when divided by
x + 2 and x - 3 leave a remainder of 3 and 5 respectively.So which of the
following is true?
p(-2) + q(3) = 8
p(2) - q(3) = - 8
p(3) - q(-2) = - 5
p(-3) - q(-2) = 2
Q37. What is the remainder when 2x2 −
5x − 1 is divided by x −3? (Use the remainder theorem)
1
2
3
4
Q38. On dividing f(x) = 2x4 − 9x3 −
21x2 + 88x + 48 by (x − 2), we get the remainder
50
150
100
75
Q39. Which of the following is a multiple of x3 +
7x2 + 7x − 6?
x - 3
x + 3
x - 2
x + 2
Q40. Find the value of ( 109 ) 2
11181
18811
18181
11881
Solution
(109)2 = (100+9)2
= (100)2 + (9)2 + 2(100)(9)
= 11881
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